Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.
| ISBN: | 9780387986906 |
| Publication date: | 29th October 1999 |
| Author: | Werner Balser |
| Publisher: | Springer an imprint of Springer New York |
| Format: | Hardback |
| Pagination: | 299 pages |
| Series: | Universitext |
Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere.
Hardback. Not Available.
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations was written by Werner Balser and published by Springer an imprint of Springer New York
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations has 299 pages
Yes it is part of Universitext series